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On Time Non-homogeneous Feller-Type Diffusion Process in Neuronal Modeling

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Computer Aided Systems Theory – EUROCAST 2015 (EUROCAST 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9520))

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Abstract

Time non-homogeneous Feller-type and Ornstein-Uhlenbeck diffusion processes are considered for modeling the neuronal activity in the presence of time-varying input signals. In particular, the first passage time (FPT) problem is analyzed for both processes and the averages of FPT through a constant boundary are compared for a constant input signal and for different choices of involved parameters.

This paper is partially supported by G.N.C.S.- INdAM and Campania Region.

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Author information

Authors and Affiliations

  1. Dipartimento di Studi e Ricerche Aziendali (Management and Information Technology), Università di Salerno, 84084, Fisciano, SA, Italy

    Amelia G. Nobile

  2. Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Monte S. Angelo, 80126, Napoli, Italy

    Enrica Pirozzi

Authors
  1. Amelia G. Nobile
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  2. Enrica Pirozzi
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Corresponding author

Correspondence to Amelia G. Nobile .

Editor information

Editors and Affiliations

  1. de Gran Canaria, Universidad de las Palmas de Gran Canari, Las Palmas de Gran Canaria, Spain

    Roberto Moreno-Díaz

  2. Johannes Kepler University Linz, Linz, Austria

    Franz Pichler

  3. de Gran Canaria, Universidad de las Palmas de Gran Canari, Las Palmas de Gran Canaria, Spain

    Alexis Quesada-Arencibia

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Nobile, A.G., Pirozzi, E. (2015). On Time Non-homogeneous Feller-Type Diffusion Process in Neuronal Modeling. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2015. EUROCAST 2015. Lecture Notes in Computer Science(), vol 9520. Springer, Cham. https://doi.org/10.1007/978-3-319-27340-2_24

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  • DOI: https://doi.org/10.1007/978-3-319-27340-2_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27339-6

  • Online ISBN: 978-3-319-27340-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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